Search a number
-
+
40131013 = 1315971933
BaseRepresentation
bin1001100100010…
…1100111000101
32210111212101211
42121011213011
540233143023
63552051421
7665052016
oct231054705
983455354
1040131013
112072002a
1211533b71
138411380
14548900d
1537caa0d
hex26459c5

40131013 has 8 divisors (see below), whose sum is σ = 43267448. Its totient is φ = 37001664.

The previous prime is 40131011. The next prime is 40131023. The reversal of 40131013 is 31013104.

It can be written as a sum of positive squares in 4 ways, for example, as 667489 + 39463524 = 817^2 + 6282^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 40131013 - 21 = 40131011 is a prime.

It is a super-2 number, since 2×401310132 = 3220996408812338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40130984 and 40131002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40131011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19795 + ... + 21727.

It is an arithmetic number, because the mean of its divisors is an integer number (5408431).

Almost surely, 240131013 is an apocalyptic number.

It is an amenable number.

40131013 is a deficient number, since it is larger than the sum of its proper divisors (3136435).

40131013 is a wasteful number, since it uses less digits than its factorization.

40131013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3543.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 40131013 is about 6334.9043402407. The cubic root of 40131013 is about 342.3681642244.

Adding to 40131013 its reverse (31013104), we get a palindrome (71144117).

It can be divided in two parts, 4013101 and 3, that added together give a palindrome (4013104).

The spelling of 40131013 in words is "forty million, one hundred thirty-one thousand, thirteen".

Divisors: 1 13 1597 1933 20761 25129 3087001 40131013